Finite Group Databasebeta

← Group #266239

Character table — Group #266239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442222444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1
χ511111111111111111111-1-1-1-11-1-1111-1-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-11-1-1111-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1-111-1-111-1-111
χ711111111111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-11111-1-1
χ811111111111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-1-11-111-1-111-1-1-1-111
χ91111111111111111-1-1-1-111111111-1-1-1-1111-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111
χ111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1
χ121111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111
χ131111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-11111-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-11111-1-1-1-1-1-1111111-1-1-1111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-11111-1-1-1-11111-1-1111-1-1-11111-1-111-1-1
χ172222222222-2-2-222-222222222-2-2-2-2-2-222-200-2-20000000000000000000000000000
χ182222222222-2-2-222-22222-2-2-2-2-222-2-2-2-2-2200220000000000000000000000000000
χ192222222222-2-2-222-2-2-2-2-22222-2-2-2-222-2-2-200220000000000000000000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-2-2-222-22222200-2-20000000000000000000000000000
χ2122222222-2-2222-2-22000022-2-2-2-2-2-2000022200-2-20000000000002-2000000000000
χ2222222222-2-2222-2-22000022-2-2-2-2-2-200002-2-20022000000000000-22000000000000
χ2322222222-2-2222-2-220000-2-222-222-20000-2220022000000000000-2-2000000000000
χ2422222222-2-2222-2-220000-2-222-222-20000-2-2-200-2-200000000000022000000000000
χ2522222222-2-2-2-2-2-2-2-2000022-2-222220000-200000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-2000022-2-222220000-20000000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-2222-2-220000200000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-2222-2-22000020000000000000000-22002-20000000000
χ292222-2-2-2-222000-2-2022-2-22-22-20000002-2000000022−2−222−2−2000000000000002−22−2
χ302222-2-2-2-222000-2-2022-2-22-22-20000002-20000000−2−222−2−22200000000000000−22−22
χ312222-2-2-2-222000-2-2022-2-2-22-22000000-22000000022−2−2−2−222000000000000002−2−22
χ322222-2-2-2-222000-2-2022-2-2-22-22000000-220000000−2−22222−2−200000000000000−222−2
χ332222-2-2-2-222000-2-20-2-2222-22-2000000-22000000022−2−222−2−200000000000000−22−22
χ342222-2-2-2-222000-2-20-2-2222-22-2000000-220000000−2−222−2−222000000000000002−22−2
χ352222-2-2-2-222000-2-20-2-222-22-220000002-2000000022−2−2−2−22200000000000000−222−2
χ362222-2-2-2-222000-2-20-2-222-22-220000002-20000000−2−22222−2−2000000000000002−2−22
χ3722-2-222-2-22-222-22-2-22-22-20000200-22-2000000000000000002-2000000002-2000000
χ3822-2-222-2-22-222-22-2-22-22-20000200-22-200000000000000000-2200000000-22000000
χ3922-2-222-2-22-222-22-2-2-22-220000200-2-22000000000000000002-200000000-22000000
χ4022-2-222-2-22-222-22-2-2-22-220000200-2-2200000000000000000-22000000002-2000000
χ4122-2-222-2-22-2-2-222-222-22-20000-2002-2200000000000000000000000002i−2i002i−2i0000
χ4222-2-222-2-22-2-2-222-222-22-20000-2002-220000000000000000000000000−2i2i00−2i2i0000
χ4322-2-222-2-22-2-2-222-22-22-220000-20022-200000000000000000000000002i−2i00−2i2i0000
χ4422-2-222-2-22-2-2-222-22-22-220000-20022-20000000000000000000000000−2i2i002i−2i0000
χ454444-4-4-4-4-4-400044000004-4-4400000000000000000000000000000000000000000
χ464444-4-4-4-4-4-40004400000-444-400000000000000000000000000000000000000000
χ4744-4-444-4-4-4444-4-44-400000000-40040000000000000000000000000000000000000
χ4844-4-444-4-4-44-4-44-44400000000400-40000000000000000000000000000000000000
χ4944-4-4-4-4444-4000-4404-4-44000000000000000000000000000000000000000000000
χ5044-4-4-4-4444-4000-440-444-4000000000000000000000000000000000000000000000
χ5144-4-4-4-444-440004-4000000000000000000004-40000000000000000000000000000
χ5244-4-4-4-444-440004-400000000000000000000-440000000000000000000000000000
χ534-44-44-44-4004-4400-4000000000000000004-4000000000000000000000000000000
χ544-44-44-44-4004-4400-400000000000000000-44000000000000000000000000000000
χ554-44-44-44-400-44-40040000000000000000000004i−4i00000000000000000000000000
χ564-44-44-44-400-44-4004000000000000000000000−4i4i00000000000000000000000000
χ574-4-444-4-44004-4-40040000000000000000000000022−2222−220000000000000000000000
χ584-4-444-4-44004-4-400400000000000000000000000−2222−22220000000000000000000000
χ594-4-444-4-4400-44400-40000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ604-4-444-4-4400-44400-4000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ614-4-44-444-4000000000000000004i−4i0000000000002-2-222i−2i−2i2i000000000000000000
χ624-4-44-444-4000000000000000004i−4i000000000000-222-2−2i2i2i−2i000000000000000000
χ634-4-44-444-400000000000000000−4i4i0000000000002-2-22−2i2i2i−2i000000000000000000
χ644-4-44-444-400000000000000000−4i4i000000000000-222-22i−2i−2i2i000000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).